## References

SHOWING 1-10 OF 12 REFERENCES

### Generalized equipartition theorem and confining walls

- Physics
- 2015

It is shown that the generalized equipartition theorem as applied to the momentum may fail, even though the usual conditions of validity are met. This failure is linked to the nature of the confining…

### The equipartition theorem revisited

- Mathematics
- 2010

We generalize the equipartition theorem to confined systems of structureless independent molecules by introducing a confining potential, which is usually not done explicitly in most textbooks. We…

### Modification of the general theorem of equipartition: Application to the relativistic ideal gas

- Physics
- 1984

According to the general theorem of equipartition 〈χ∂H/∂χ〉=kT, where χ is any appropriate coordinate or component of momentum. More generally, if f is any suitable function of the coordinates and…

### A general theory of energy partition with applications to quantum theory

- Physics
- 1918

The principle of the equipartition of energy was one of the most definite and important results of the older statistical mechanics, and the contradiction between this principle and actual…

### Statistical Mechanics:

- PhysicsNature
- 1937

AbstractPROF. R. H. FOWLER'S monumental work on statistical mechanics has, in this the second edition, in his own modest words, been rearranged and brought more up to date. But the new volume is much…

### Periodic boundary condition induced breakdown of the equipartition principle and other kinetic effects of finite sample size in classical hard-sphere molecular dynamics simulation.

- PhysicsThe Journal of chemical physics
- 2006

Three consequences of the center-of-mass constraint in periodic boundary conditions are described: the equipartition theorem no longer holds for unequal masses, the ratio of the average relative velocity to the average velocity is increased by a factor of [N/(N-1)]1/2, and the ratios of average collision energy to average kinetic energy are increased.

### Systems with negative specific heat

- Physics
- 1970

Some systems for which the binding energy increases more rapidly than linearly with the number of particles, are shown to exhibit negative specific heatc for some energies. In thermal contact with…

### Foundations Of Mechanics

- Physics, Mathematics
- 1967

Introduction Foreward by Tudor Ratiu and Richard Cushman Preliminaries Differential Theory Calculus on Manifolds Analytical Dynamics Hamiltonian and Lagrangian Systems Hamiltonian Systems with…